Functions of three variables which satisfy both the heat equation and Laplace's equation in two variables
- 1 November 1963
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 3 (4) , 396-407
- https://doi.org/10.1017/s1446788700039021
Abstract
In a recent paper on statistical fluid mechanics Professor J. Kampé de Fériet [1] employed several integrals of which the following is a typical example The functionu(x, y, t), which it defines, formally satisfies the following three classical differential equationsKeywords
This publication has 3 references indexed in Scilit:
- The Role of the Appell Transformation in the Theory of Heat ConductionTransactions of the American Mathematical Society, 1963
- Lectures on Fourier Integrals. (AM-42)Published by Walter de Gruyter GmbH ,1959
- Positive Temperatures on an Infinite RodTransactions of the American Mathematical Society, 1944